K13a6

Dowker-Thistlethwaite code

4 8 10 14 2 18 6 20 24 12 26 16 22

Jones polynomial	Data:K13a6/Jones Polynomial
Alexander polynomial	$-2t^{4}+12t^{3}-36t^{2}+70t-87+70t^{-1}-36t^{-2}+12t^{-3}-2t^{-4}$
Conway polynomial	Data:K13a6/Conway Polynomial
Determinant	327
Signature	-2
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-2a^{8}+2z^{6}a^{6}+6z^{4}a^{6}+8z^{2}a^{6}+3a^{6}-z^{8}a^{4}-3z^{6}a^{4}-4z^{4}a^{4}-z^{2}a^{4}+a^{4}-z^{8}a^{2}-4z^{6}a^{2}-8z^{4}a^{2}-7z^{2}a^{2}-3a^{2}+z^{6}+3z^{4}+4z^{2}+2$
Kauffman polynomial	$a^{6}z^{12}+a^{4}z^{12}+5a^{7}z^{11}+10a^{5}z^{11}+5a^{3}z^{11}+9a^{8}z^{10}+24a^{6}z^{10}+25a^{4}z^{10}+10a^{2}z^{10}+8a^{9}z^{9}+13a^{7}z^{9}+15a^{5}z^{9}+22a^{3}z^{9}+12az^{9}+4a^{10}z^{8}-14a^{8}z^{8}-52a^{6}z^{8}-41a^{4}z^{8}+2a^{2}z^{8}+9z^{8}+a^{11}z^{7}-20a^{9}z^{7}-57a^{7}z^{7}-77a^{5}z^{7}-62a^{3}z^{7}-17az^{7}+4z^{7}a^{-1}-11a^{10}z^{6}-a^{8}z^{6}+29a^{6}z^{6}+2a^{4}z^{6}-35a^{2}z^{6}+z^{6}a^{-2}-17z^{6}-3a^{11}z^{5}+17a^{9}z^{5}+59a^{7}z^{5}+75a^{5}z^{5}+51a^{3}z^{5}+8az^{5}-7z^{5}a^{-1}+10a^{10}z^{4}+5a^{8}z^{4}-7a^{6}z^{4}+23a^{4}z^{4}+42a^{2}z^{4}-2z^{4}a^{-2}+15z^{4}+3a^{11}z^{3}-7a^{9}z^{3}-27a^{7}z^{3}-28a^{5}z^{3}-16a^{3}z^{3}-az^{3}+4z^{3}a^{-1}-3a^{10}z^{2}+2a^{8}z^{2}+5a^{6}z^{2}-11a^{4}z^{2}-20a^{2}z^{2}+z^{2}a^{-2}-8z^{2}-a^{11}z+2a^{9}z+5a^{7}z+4a^{5}z+3a^{3}z-za^{-1}-2a^{8}-3a^{6}+a^{4}+3a^{2}+2$